is 2 440389 - 1
has 132571 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDD9AB7AD069E584Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26767.472071.6418 %30000001000000000.14157.1851 %67.613573.6794 %
Target2440.000056.8182 %800012000000.001213.6134 %0.001362.6967 %
Difference+23+67.4720+14.8236 %+2992000+98800000+0.1402-6.4283 %+67.6122+10.9827 %

Known prime factors (2 factors, 159.8 bits, 0.03629183% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4403895780541438461119563179692478.936656299480511674856
23 × 31 × 107 × 857 × 977 × 29538689
2014-11-2197729538689227,3440.02750.0513
44038922398837393651904867510632580.8902543074122384063279
32 × 11 × 12107 × 2121716147503
2010-03-03121072121716147503965,0981,974.13,687.1

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-01ANONYMOUSv4_computers500001000000--0.00219.215%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.861%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.501%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.091%
2009-08-27Carsten Kossendeymother440389440389--0.00816.827%
2014-11-22alpertronManual testing30000001000000001222478.9360.14134.761%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-17ANONYMOUSv4_computers212560.022
2002-02-10ANONYMOUSv4_computers212570.044
2004-01-07ANONYMOUSv4_computers212580.087


ECM factoring results:
Total ECM effort:12.753 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.022
5000050000002793.469
250000250000001449.262


Lucas-Lehmer results:
No L-L results for M440389


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
2239883739365190486751063
578054143846111956317969
CBB1B643F8B0A6E7
2017-10-13Oliver KruseGTX-1
578054143846111956317969
2239883739365190486751063
CBB1B643F8B0A6E7
2017-12-16ATHxps
578054143846111956317969
2239883739365190486751063
CBB1B643F8B0A6E7
2020-04-18Oliver KruseAddPrpType5
578054143846111956317969
2239883739365190486751063
E595D3B8B1F97222


CERT results:
No CERT results for M440389


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 440389 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00